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Further results on consensus formation in the Deffuant model

Olle Häggström (Institutionen för matematiska vetenskaper, matematisk statistik) ; Timo Hirscher (Institutionen för matematiska vetenskaper, matematik)
Electronic Journal of Probability (1083-6489). Vol. 19 (2014), p. artikel nr 19.
[Artikel, refereegranskad vetenskaplig]

The so-called Deffuant model describes a pattern for social interaction, in which two neighboring individuals randomly meet and share their opinions on a certain topic, if their discrepancy is not beyond a given threshold θ. The major focus of the analyses, both theoretical and based on simulations, lies on whether these single interactions lead to a global consensus in the long run or not. First, we generalize a result of Lanchier for the Deffuant model on Z, determining the critical value for θ at which a phase transition of the long term behavior takes place, to other distributions of the initial opinions than i.i.d. uniform on [0,1]. Then we shed light on the situations where the underlying line graph Z is replaced by higher-dimensional lattices Z^d, d≥2, or the infinite cluster of supercritical i.i.d. bond percolation on these lattices.

Nyckelord: Deffuant model; consensus formation; percolation.

Denna post skapades 2014-03-14. Senast ändrad 2017-07-03.
CPL Pubid: 195072


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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematisk statistik (2005-2016)
Institutionen för matematiska vetenskaper, matematik (2005-2016)


Sannolikhetsteori och statistik

Chalmers infrastruktur

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